Numerical approach for solving neutral differential equation with deviating argument

Abstract

In this article, numerical solution of a neutral differential equation with deviating argu ment by means of the Sinc scheme and fixed point theorem is considered. Properties of the DE Sinc and SE Sinc quadratures are utilized to reduce the computation of the neutral differential equations to an iterative technique. Then convergence of this technique is discussed by preparing a theorem. To guarantee the analytical results and show the efficiency and accuracy of the present method, some examples are presented.